Effect of anisotropic diffusion on spinodal decomposition

TL;DR

This paper investigates how anisotropic diffusion influences the dynamics of spinodal decomposition in fluid systems, revealing significant differences from isotropic cases through theoretical predictions and numerical simulations.

Contribution

It introduces a dynamical density functional theory approach to analyze anisotropic diffusion effects on phase separation dynamics.

Findings

Anisotropic diffusion slows down intermediate-stage spinodal decomposition.

Coupling between Fourier modes is reduced due to anisotropy.

Numerical simulations confirm qualitative differences from isotropic diffusion.

Abstract

We study the phase transition dynamics of a fluid system in which the particles diffuse anisotropically in space. The motivation to study such a situation is provided by systems of interacting magnetic colloidal particles subject to the Lorentz force. The Smoluchowski equation for the many-particle probability distribution then aquires an anisotropic diffusion tensor. We show that anisotropic diffusion results in qualitatively different dynamics of spinodal decomposition compared to the isotropic case. Using the method of dynamical density functional theory, we predict that the intermediate-stage decomposition dynamics are slowed down significantly by anisotropy; the coupling between different Fourier modes is strongly reduced. Numerical calculations are performed for a model (Yukawa) fluid that exhibits gas-liquid phase separation.